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Finding the Fourth Proportional to 7,959.82, 10,984.22 and 4,423.36

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Solution

The fourth proportional to 7,959.82, 10,984.22 and 4,423.36 is: 6,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.82 : 10,984.22 = 4,423.36 : x
  2. Step 2: Convert to fraction form
    7,959.82/10,984.22 = 4,423.36/x
  3. Step 3: Cross multiply
    7,959.82x = 10,984.22 × 4,423.36
  4. Step 4: Simplify right side
    7,959.82x = 48,587,159.38
  5. Step 5: Solve for x
    x = 48,587,159.38/7,959.82
  6. Step 6: Final answer
    x = 6,104.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.